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Popular >

factor e^x-e^{-x}

Solution

factor

e^{x} - e^{- x}

Solution

e^{- x} (e^{x} + 1) (e^{x} - 1)

Solution steps

e^{x} - e^{- x}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

e^{x} = e^{- x} e^{2 x}

= e^{- x} e^{2 x} - e^{- x}

Factor out common term

e^{- x}

= e^{- x} (e^{2 x} - 1)

Factor

e^{2 x} - 1 : (e^{x} + 1) (e^{x} - 1)

= e^{- x} (e^{x} + 1) (e^{x} - 1)

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x^{2} - 10 + 25

Frequently Asked Questions (FAQ)

What is factor e^x-e^{-x} ?
The solution to factor e^x-e^{-x} is e^{-x}(e^x+1)(e^x-1)